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DiKsa [7]
2 years ago
8

Convert 15 km per hour to meters per second

Mathematics
1 answer:
ipn [44]2 years ago
6 0
1km = 1000m
1hr = 3600sec

Do proportions:
1km / 1000m = 15km / x
15000m = x

1hr = 3600sec

15000/3600 = 4.2m per second
Choice 4


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The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori
Aliun [14]

Answer:

46

Step-by-step explanation:

Let (ab) represent a number with a in the ten's position and b is the one's position.

This means (ab) actually has value of 10a+b.

We are given the sum of those digits of (ab) is 10; this means a+b=10.

It says if 18 is added to the number (ab), then the result is (ba).

So (ab) has value 10a+b and

(ba) has value 10b+a.

We are given then:

(ab)+18=(ba)

10a+b+18=10b+a

Subtract 10a on both sides:

b+18=10b+a-10a

Simplify:

b+18=10b-9a

Subtract b on both sides:

18=10b-b-9a

18=9b-9a

Divide both sides by 9:

2=b-a

Rearrange by commutative property:

2=-a+b

So the system of equations we want to solve is:

a+b=10

-a+b=2

-------------------------Add equations together (this will eliminate the variable a and allow you to go ahead and solve for b:

0+2b=12

2b=12

Divide both sides by 2:

b=\frac{12}{2}

Simplify:

b=6

If b=6 and a+b=10, then a=4.  a=4 since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0
3 years ago
Is y=3/4x a direct variation? if so, find the constant of variation
xxMikexx [17]
Yes because without a y-intercept it goes through 0. and can you explain the next part?
8 0
3 years ago
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
maxonik [38]
ANSWER

y + 5= - \frac{9}{11} (x-3)

or

y - 4= - \frac{9}{11} (x + 8)

EXPLANATION

We want to find the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4).

The point-slope form is given by;

y-y_1=m(x-x_1)

where

m = \frac{4 - - 5}{ - 8 - 3} = \frac{4 + 5}{ - 11} = - \frac{9}{11}

is the slope of the line.

If

(x_1,y_1)=(3,-5)

The point-slope form is

y + 5= - \frac{9}{11} (x-3)

On the other hand, if
(x_1,y_1)=( - 8,4)

Then the point-slope form is,

y - 4= - \frac{9}{11} (x + 8)

These two equations are the same when simplified.
4 0
3 years ago
-2(x-4)^2+1 in standard form
zepelin [54]

Answer:

the standard form is : -2x²+16x -31

Step-by-step explanation:

hello :

-2(x-4)²+1 = -2(x²-8x+16)+1 = -2x²+16x-32+1

-2(x-4)²+1 =-2x²+16x -31

5 0
2 years ago
Need help with this problem.
babymother [125]

Answer:

Repersent The product of 2 and y mathamticaly

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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